Symmetry inheritance of scalar fields

Abstract

Matter fields don't necessarily have to share the symmetries with the spacetime they live in. When this happens, we speak of the symmetry inheritance of fields. In this paper we classify the obstructions of symmetry inheritance by the scalar fields, both real and complex, and look more closely at the special cases of stationary and axially symmetric spacetimes. Since the symmetry noninheritance is present in the scalar fields of boson stars and may enable the existence of the black hole scalar hair, our results narrow the possible classes of such solutions. Finally, we define and analyse the symmetry noninheritance contributions to Komar mass and angular momentum of the black hole scalar hair.

22 pages; revised, published version with new results about non-canonical scalar fields

References in corpus (6)

• Testing the general relativistic ''no-hair'' theorems using the galactic center black hole SgrA*
• DBI-essence
• A new spin on black hole hair
• Models of rotating boson stars and geodesics around them: new type of orbits
• Stationary Black Holes with Time-Dependent Scalar Fields
• Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes

Cited by in corpus (6)

• Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index
• Hairy AdS Solitons
• Constraints on the symmetry noninheriting scalar black hole hair
• Nonlinear electromagnetic fields and symmetries
• High precision numerical sequences of rotating hairy black holes
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair